There is only one "theory" it really should be named FACT maybe then people would stop arguing.
The 12 tone matrix is not a substitute or a different school of theory. Schenkerian is a school of thought not a different theory altogether. You didn't make it to third semester theory class? no music history either? Second Viennese School?
Music is governed by the laws of physics and those laws don't change. There is no winner. just different ways of explaining the exact same thing. Both are necessary.
"You didn't make it to third semester theory class? no music history either? Second Viennese School?"
Answer: BA in Music, University of Texas at Austin, 1981, Berklee School of Music, 2009
Now then, progressing on to more serious analysis.
It is, in my opinion, a simplistic delineation to describe, proscribe, and then suggest/promote a so-called "classical music theory" versus so-called "jazz music theory."
During the 17th, 18th, 19th centuries, most serious musicians started out as child/adolescent "copyists." These were students assigned to transcribe the works of the past and current "Masters." Published copy was expensive.
After a thousand times of re-writing Mozart, Beethoven, Mendelssohn, et al, these young kids then entered formal Music Theory and most importantly Composition matriculation. This, most importantly, included only those chord progressions (and its associated nomenclature) present AT THAT POINT IN TIME!
This was in part was delineated to me by Dr. Clive Brown the author of "Classical and Romantic Performing Practice 1750-1900. Oxford: OUP. He has stated many times (in papers, lectures and interviews) that the term "Classical Music" is a misnomer. In January of 2015, on the New York Classical Radio Station WQXR, he said in the following interview: (Go to their website, enter Clive Brown in their search engine, and then look it up!)
"The term “classical music” – coined in the 19th century to describe material that had been judged worthy of inclusion in the pantheon of great art – is now used somewhat misleadingly to apply to everything that might be performed in a concert hall or opera house, rather than in more informal venues. The old assumption that “classical” music has more cultural value than “popular” music is no longer orthodox – it has become one genre amongst many."]
Conversely, how many posters here (like I did, "dcstudio") have taken a one semester course under the saxophonist/educator, Rick Lawn, entitled "The History of Jazz?" This is where I learned that the so-called jazz theory nomenclature (as it very directly correlates to its particular "style") varied from city to city and from time period to time period. Everyone did it differently.
Therefore, it makes no difference whether one uses Roman Numerals, figured bass (from Bach to Mozart) or whether they use modern jazz terminology. And, for the record, when I studied at Berklee, they used the same above the line chord symbols as do all the classical music schools.
I guess if any of the posters here ever study at Berklee, they should most assuredly correct them on their mistake!
What matters most, in my opinion, is the real time functional knowledge of chord structure, rhythm character and melodic line. Accordingly, without composition training, ones performance knowledge will never be complete, regardless of the underlying descriptive symbolism.
And, do you know what? There actually is pianist, theorist, musicologist, who teaches (at a University level) how to effectuate "real time," music theory.
I will not give you her name or school because the particular discourse here would be a waste of her time.
On second thought: Come on "dcstudio," you are the expert on theory pedagogy. Please give us her name. Every university music theory teacher in the U.S. knows here name, but we want to hear it from you!
Conversely, if any of you are truly serious about theory/composition matriculation (and I truly hope you are), please contact me by PM. I would be most glad to help in any way I can.